105587820 has 192 divisors, whose sum is σ = 359856000. Its totient is φ = 25698816.

The previous prime is 105587813. The next prime is 105587821. The reversal of 105587820 is 28785501.

105587820 is a `hidden beast` number, since 10 + 558 + 78 + 20 = 666.

It is a super-2 number, since 2×105587820² = 22297575464704800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105587821) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1186336 + ... + 1186424.

It is an arithmetic number, because the mean of its divisors is an integer number (1874250).

Almost surely, 2^105587820 is an apocalyptic number.

105587820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105587820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179928000).

105587820 is an abundant number, since it is smaller than the sum of its proper divisors (254268180).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105587820 is a wasteful number, since it uses less digits than its factorization.

105587820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The square root of 105587820 is about 10275.5934135212. The cubic root of 105587820 is about 472.6481269014.

The spelling of 105587820 in words is "one hundred five million, five hundred eighty-seven thousand, eight hundred twenty".